How to transform a pentagon into a triangle of the same area
This is the third in the series of problems involving transforming polygons into another polygon where the area is preserved. The first is about transforming
Problem
Transform pentagon ABCDE into a triangle that has the same area as the pentagon.
Solution
The area of pentagon ABCDE is equal to the area of quadrilateral AFDE
Constructing the triangle from the quadrilateral is left to you as an exercise. If you are having some difficulty trying to understand the solution I suggest you read the two earlier problems:
- How to transform quadrilaterals into triangles with the same area
- Transforming shapes without changing their areas